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Finding the Third Proportional to 105,086.25 and 158,719.50

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Solution

The third proportional to 105,086.25 and 158,719.50 is: 239,725.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,086.25 : 158,719.50 = 158,719.50 : x
  2. Step 2: Convert to fraction form
    105,086.25/158,719.50 = 158,719.50/x
  3. Step 3: Cross multiply
    105,086.25x = 158,719.50 × 158,719.50
  4. Step 4: Simplify right side
    105,086.25x = 25,191,879,680.25
  5. Step 5: Solve for x
    x = 25,191,879,680.25/105,086.25
  6. Step 6: Final answer
    x = 239,725.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.